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<div class="section boost_icl_interface_function_synopsis" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_icl.interface.function_synopsis"></a><a class="link" href="function_synopsis.html" title="Function Synopsis">Function Synopsis</a>
</h3></div></div></div>
<p>
        In this section a single <span class="emphasis"><em><span class="bold"><strong>matrix</strong></span></em></span>
        is given, that shows all <span class="emphasis"><em><span class="bold"><strong>functions</strong></span></em></span>
        with shared names and identical or analogous semantics and their polymorphic
        overloads across the class templates of the <span class="bold"><strong>icl</strong></span>.
        In order to achieve a concise representation, a series of <span class="emphasis"><em><span class="bold"><strong>placeholders</strong></span></em></span> are used throughout the function
        matrix.
      </p>
<p>
        The <span class="emphasis"><em><span class="bold"><strong>placeholder's</strong></span></em></span> purpose
        is to express the polymorphic usage of the functions. The <span class="emphasis"><em><span class="bold"><strong>first column</strong></span></em></span> of the function matrix contains
        the signatures of the functions. Within these signatures <code class="computeroutput"><span class="identifier">T</span></code>
        denotes a container type and <code class="computeroutput"><span class="identifier">J</span></code>
        and <code class="computeroutput"><span class="identifier">P</span></code> polymorphic argument
        and result types.
      </p>
<p>
        Within the body of the matrix, sets of <span class="bold"><strong>boldface</strong></span>
        placeholders denote the sets of possible instantiations for a polymorphic
        placeholder <code class="computeroutput"><span class="identifier">P</span></code>. For instance
        <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> denotes that for the argument type <code class="computeroutput"><span class="identifier">P</span></code>, an element <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>, an interval <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> or an interval_set <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> can be instantiated.
      </p>
<p>
        If the polymorphism can not be described in this way, only the <span class="emphasis"><em><span class="bold"><strong>number</strong></span></em></span> of overloaded implementations for
        the function of that row is shown.
      </p>
<a name="element_type"></a><a name="interval_type"></a><a name="itl_set_type"></a><a name="interval_set_types"></a><a name="element_mapping_type"></a><a name="interval_mapping_type"></a><a name="itl_map_type"></a><a name="interval_map_types"></a><a name="discrete_types"></a><a name="continuous_types"></a><div class="informaltable"><table class="table">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
              <p>
                Placeholder
              </p>
              </th>
<th>
              <p>
                Argument types
              </p>
              </th>
<th>
              <p>
                Description
              </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">T</span></code>
              </p>
              </td>
<td>
              <p>
              </p>
              </td>
<td>
              <p>
                a container or interval type
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">P</span></code>
              </p>
              </td>
<td>
              <p>
              </p>
              </td>
<td>
              <p>
                polymorphic container argument type
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">J</span></code>
              </p>
              </td>
<td>
              <p>
              </p>
              </td>
<td>
              <p>
                polymorphic iterator type
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">K</span></code>
              </p>
              </td>
<td>
              <p>
              </p>
              </td>
<td>
              <p>
                polymorphic element_iterator type for interval containers
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">V</span></code>
              </p>
              </td>
<td>
              <p>
              </p>
              </td>
<td>
              <p>
                various types <code class="computeroutput"><span class="identifier">V</span></code>,
                that do dot fall in the categories above
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                1,2,...
              </p>
              </td>
<td>
              <p>
              </p>
              </td>
<td>
              <p>
                number of implementations for this function
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                A
              </p>
              </td>
<td>
              <p>
              </p>
              </td>
<td>
              <p>
                implementation generated by compilers
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <span class="bold"><strong>e</strong></span>
              </p>
              </td>
<td>
              <p>
                T::element_type
              </p>
              </td>
<td>
              <p>
                the element type of <code class="computeroutput"><a class="link" href="../../boost/icl/interval_set.html" title="Class template interval_set">interval_sets</a></code>
                or <a href="http://www.cplusplus.com/reference/stl/set/" target="_top"><code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">sets</span></code></a>
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <span class="bold"><strong>i</strong></span>
              </p>
              </td>
<td>
              <p>
                T::segment_type
              </p>
              </td>
<td>
              <p>
                the segment type of of <code class="computeroutput"><a class="link" href="../../boost/icl/interval_set.html" title="Class template interval_set">interval_sets</a></code>
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <span class="bold"><strong>s</strong></span>
              </p>
              </td>
<td>
              <p>
                element sets
              </p>
              </td>
<td>
              <p>
                <a href="http://www.cplusplus.com/reference/stl/set/" target="_top"><code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">set</span></code> </a> or other models of
                the icl's set concept
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <span class="bold"><strong>S</strong></span>
              </p>
              </td>
<td>
              <p>
                interval_sets
              </p>
              </td>
<td>
              <p>
                one of the interval set types
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <span class="bold"><strong>b</strong></span>
              </p>
              </td>
<td>
              <p>
                T::element_type
              </p>
              </td>
<td>
              <p>
                type of <code class="computeroutput"><a class="link" href="../../boost/icl/interval_map.html" title="Class template interval_map">interval_map's</a></code>
                or <code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::map's</a></code> element
                value pairs
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <span class="bold"><strong>p</strong></span>
              </p>
              </td>
<td>
              <p>
                T::segment_type
              </p>
              </td>
<td>
              <p>
                type of <code class="computeroutput"><a class="link" href="../../boost/icl/interval_map.html" title="Class template interval_map">interval_map's</a></code>
                interval value pairs
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <span class="bold"><strong>m</strong></span>
              </p>
              </td>
<td>
              <p>
                element maps
              </p>
              </td>
<td>
              <p>
                <code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::map</a></code> icl's map type
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <span class="bold"><strong>M</strong></span>
              </p>
              </td>
<td>
              <p>
                interval_maps
              </p>
              </td>
<td>
              <p>
                one of the interval map types
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <span class="bold"><strong>d</strong></span>
              </p>
              </td>
<td>
              <p>
                discrete types
              </p>
              </td>
<td>
              <p>
                types with a least steppable discrete unit: Integral types, date/time
                types etc.
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <span class="bold"><strong>c</strong></span>
              </p>
              </td>
<td>
              <p>
                continuous types
              </p>
              </td>
<td>
              <p>
                types with (theoretically) infinitely many elements beween two values.
              </p>
              </td>
</tr>
</tbody>
</table></div>
<a name="function_synopsis_table"></a><div class="table">
<a name="id1116172"></a><p class="title"><b>Table&#160;1.13.&#160;Synopsis
      Functions and Overloads</b></p>
<div class="table-contents"><table class="table" summary="Synopsis
      Functions and Overloads">
<colgroup>
<col>
<col>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
            <p>
              T
            </p>
            </th>
<th>
            <p>
              intervals
            </p>
            </th>
<th>
            <p>
              interval<br> sets
            </p>
            </th>
<th>
            <p>
              interval<br> maps
            </p>
            </th>
<th>
            <p>
              element<br> sets
            </p>
            </th>
<th>
            <p>
              element<br> maps
            </p>
            </th>
</tr></thead>
<tbody>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/construct__copy__destruct.html" title="Construct, copy, destruct"><span class="emphasis"><em><span class="bold"><strong>Construct, copy, destruct</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">::</span><span class="identifier">T</span><span class="special">()</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">::</span><span class="identifier">T</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              A
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="identifier">T</span><span class="special">::</span><span class="keyword">operator</span><span class="special">=(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              A
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">void</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">swap</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/containedness.html" title="Containedness"><span class="emphasis"><em><span class="bold"><strong>Containedness</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
              intervals
            </p>
            </td>
<td>
            <p>
              interval<br> sets
            </p>
            </td>
<td>
            <p>
              interval<br> maps
            </p>
            </td>
<td>
            <p>
              element<br> sets
            </p>
            </td>
<td>
            <p>
              element<br> maps
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">empty</span><span class="special">()</span><span class="keyword">const</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">is_empty</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">contains</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code><br> <code class="computeroutput"><span class="keyword">bool</span>
              <span class="identifier">within</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/equivalences_and_orderings.html" title="Equivalences and Orderings"><span class="emphasis"><em><span class="bold"><strong>Equivalences and Orderings</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
              intervals
            </p>
            </td>
<td>
            <p>
              interval<br> sets
            </p>
            </td>
<td>
            <p>
              interval<br> maps
            </p>
            </td>
<td>
            <p>
              element<br> sets
            </p>
            </td>
<td>
            <p>
              element<br> maps
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="keyword">operator</span>
              <span class="special">==</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="keyword">operator</span>
              <span class="special">!=</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="keyword">operator</span>
              <span class="special">&lt;</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="keyword">operator</span>
              <span class="special">&gt;</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="keyword">operator</span>
              <span class="special">&lt;=</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="keyword">operator</span>
              <span class="special">&gt;=</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">is_element_equal</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">is_element_less</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">is_element_greater</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">is_distinct_equal</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/size.html" title="Size"><span class="emphasis"><em><span class="bold"><strong>Size</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
              intervals
            </p>
            </td>
<td>
            <p>
              interval<br> sets
            </p>
            </td>
<td>
            <p>
              interval<br> maps
            </p>
            </td>
<td>
            <p>
              element<br> sets
            </p>
            </td>
<td>
            <p>
              element<br> maps
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">size_type</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">size</span><span class="special">()</span><span class="keyword">const</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">size_type</span> <span class="identifier">size</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">size_type</span> <span class="identifier">cardinality</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">difference_type</span> <span class="identifier">length</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">size_type</span> <span class="identifier">iterative_size</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">size_type</span> <span class="identifier">interval_count</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/selection.html" title="Selection"><span class="emphasis"><em><span class="bold"><strong>Selection</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">find</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">find</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">codomain_type</span><span class="special">&amp;</span>
              <span class="keyword">operator</span><span class="special">[]</span>
              <span class="special">(</span><span class="keyword">const</span>
              <span class="identifier">domain_type</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">codomain_type</span> <span class="keyword">operator</span><span class="special">()</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">domain_type</span><span class="special">&amp;)</span><span class="keyword">const</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/range.html" title="Range"><span class="emphasis"><em><span class="bold"><strong>Range</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">interval_type</span> <span class="identifier">hull</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">hull</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">lower</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">upper</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">first</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">last</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/addition.html" title="Addition"><span class="emphasis"><em><span class="bold"><strong>Addition</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
              intervals
            </p>
            </td>
<td>
            <p>
              interval<br> sets
            </p>
            </td>
<td>
            <p>
              interval<br> maps
            </p>
            </td>
<td>
            <p>
              element<br> sets
            </p>
            </td>
<td>
            <p>
              element<br> maps
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="identifier">T</span><span class="special">::</span><span class="identifier">add</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="identifier">add</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">add</span><span class="special">(</span><span class="identifier">J</span> <span class="identifier">pos</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">add</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;,</span> <span class="identifier">J</span>
              <span class="identifier">pos</span><span class="special">,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="keyword">operator</span> <span class="special">+=(</span><span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span> <span class="keyword">operator</span>
              <span class="special">+</span> <span class="special">(</span><span class="identifier">T</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code><br> <code class="computeroutput"><span class="identifier">T</span>
              <span class="keyword">operator</span> <span class="special">+</span>
              <span class="special">(</span><span class="keyword">const</span>
              <span class="identifier">P</span><span class="special">&amp;,</span>
              <span class="identifier">T</span><span class="special">)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="keyword">operator</span> <span class="special">|=(</span>
              <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span> <span class="keyword">operator</span>
              <span class="special">|</span> <span class="special">(</span><span class="identifier">T</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code><br> <code class="computeroutput"><span class="identifier">T</span>
              <span class="keyword">operator</span> <span class="special">|</span>
              <span class="special">(</span><span class="keyword">const</span>
              <span class="identifier">P</span><span class="special">&amp;,</span>
              <span class="identifier">T</span><span class="special">)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/subtraction.html" title="Subtraction"><span class="emphasis"><em><span class="bold"><strong>Subtraction</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="identifier">T</span><span class="special">::</span><span class="identifier">subtract</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="identifier">subtract</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="keyword">operator</span> <span class="special">-=(</span><span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span> <span class="keyword">operator</span>
              <span class="special">-</span> <span class="special">(</span><span class="identifier">T</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">left_subtract</span><span class="special">(</span><span class="identifier">T</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">right_subtract</span><span class="special">(</span><span class="identifier">T</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/insertion.html" title="Insertion"><span class="emphasis"><em><span class="bold"><strong>Insertion</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
              intervals
            </p>
            </td>
<td>
            <p>
              interval<br> sets
            </p>
            </td>
<td>
            <p>
              interval<br> maps
            </p>
            </td>
<td>
            <p>
              element<br> sets
            </p>
            </td>
<td>
            <p>
              element<br> maps
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">V</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">insert</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">V</span> <span class="identifier">insert</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">insert</span><span class="special">(</span><span class="identifier">J</span> <span class="identifier">pos</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">insert</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;,</span> <span class="identifier">J</span>
              <span class="identifier">pos</span><span class="special">,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="identifier">insert</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="identifier">T</span><span class="special">::</span><span class="identifier">set</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="identifier">set_at</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/erasure.html" title="Erasure"><span class="emphasis"><em><span class="bold"><strong>Erasure</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">void</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">clear</span><span class="special">()</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">void</span> <span class="identifier">clear</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="identifier">T</span><span class="special">::</span><span class="identifier">erase</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="identifier">erase</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">void</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">erase</span><span class="special">(</span><span class="identifier">iterator</span><span class="special">)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">void</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">erase</span><span class="special">(</span><span class="identifier">iterator</span><span class="special">,</span><span class="identifier">iterator</span><span class="special">)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/intersection.html" title="Intersection"><span class="emphasis"><em><span class="bold"><strong>Intersection</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
              intervals
            </p>
            </td>
<td>
            <p>
              interval<br> sets
            </p>
            </td>
<td>
            <p>
              interval<br> maps
            </p>
            </td>
<td>
            <p>
              element<br> sets
            </p>
            </td>
<td>
            <p>
              element<br> maps
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">void</span> <span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="keyword">operator</span> <span class="special">&amp;=(</span><span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span> <span class="keyword">operator</span>
              <span class="special">&amp;</span> <span class="special">(</span><span class="identifier">T</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code><br> <code class="computeroutput"><span class="identifier">T</span>
              <span class="keyword">operator</span> <span class="special">&amp;</span>
              <span class="special">(</span><span class="keyword">const</span>
              <span class="identifier">P</span><span class="special">&amp;,</span>
              <span class="identifier">T</span><span class="special">)</span></code>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">intersects</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code><br> <code class="computeroutput"><span class="keyword">bool</span>
              <span class="identifier">disjoint</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/symmetric_difference.html" title="Symmetric Difference"><span class="emphasis"><em><span class="bold"><strong>Symmetric difference</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="identifier">T</span><span class="special">::</span><span class="identifier">flip</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="identifier">flip</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span><span class="special">&amp;</span>
              <span class="keyword">operator</span> <span class="special">^=(</span><span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span> <span class="keyword">operator</span>
              <span class="special">^</span> <span class="special">(</span><span class="identifier">T</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code><br> <code class="computeroutput"><span class="identifier">T</span>
              <span class="keyword">operator</span> <span class="special">^</span>
              <span class="special">(</span><span class="keyword">const</span>
              <span class="identifier">P</span><span class="special">&amp;,</span>
              <span class="identifier">T</span><span class="special">)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a>
              <a class="link" href="function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a>
              <a class="link" href="function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/iterator_related.html" title="Iterator related"><span class="emphasis"><em><span class="bold"><strong>Iteration</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
              intervals
            </p>
            </td>
<td>
            <p>
              interval<br> sets
            </p>
            </td>
<td>
            <p>
              interval<br> maps
            </p>
            </td>
<td>
            <p>
              element<br> sets
            </p>
            </td>
<td>
            <p>
              element<br> maps
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">begin</span><span class="special">()</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">end</span><span class="special">()</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">rbegin</span><span class="special">()</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">rend</span><span class="special">()</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">lower_bound</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">key_type</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">J</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">upper_bound</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">key_type</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">pair</span><span class="special">&lt;</span><span class="identifier">J</span><span class="special">,</span><span class="identifier">J</span><span class="special">&gt;</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">equal_range</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">key_type</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/element_iteration.html" title="Element iteration"><span class="emphasis"><em><span class="bold"><strong>Element iteration</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
              intervals
            </p>
            </td>
<td>
            <p>
              interval<br> sets
            </p>
            </td>
<td>
            <p>
              interval<br> maps
            </p>
            </td>
<td>
            <p>
              element<br> sets
            </p>
            </td>
<td>
            <p>
              element<br> maps
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">K</span> <span class="identifier">elements_begin</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">K</span> <span class="identifier">elements_end</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">K</span> <span class="identifier">elements_rbegin</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">K</span> <span class="identifier">elements_rend</span><span class="special">(</span><span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
              2
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/streaming__conversion.html" title="Streaming, conversion"><span class="emphasis"><em><span class="bold"><strong>Streaming, conversion</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
              intervals
            </p>
            </td>
<td>
            <p>
              interval<br> sets
            </p>
            </td>
<td>
            <p>
              interval<br> maps
            </p>
            </td>
<td>
            <p>
              element<br> sets
            </p>
            </td>
<td>
            <p>
              element<br> maps
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span> <span class="keyword">operator</span>
              <span class="special">&lt;&lt;</span> <span class="special">(</span><span class="identifier">basic_ostream</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><p>
        Many but not all functions of <span class="bold"><strong>icl</strong></span> intervals
        are listed in the table above. Some specific functions are summarized in
        the next table. For the group of the constructing functions, placeholders
        <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
        denote discrete domain types and <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a> denote continuous domain types <code class="computeroutput"><span class="identifier">T</span><span class="special">::</span><span class="identifier">domain_type</span></code>
        for an interval_type <code class="computeroutput"><span class="identifier">T</span></code> and
        an argument types <code class="computeroutput"><span class="identifier">P</span></code>.
      </p>
<a name="additional_interval_functions"></a><div class="table">
<a name="id1127129"></a><p class="title"><b>Table&#160;1.14.&#160;Additional
      interval functions</b></p>
<div class="table-contents"><table class="table" summary="Additional
      interval functions">
<colgroup>
<col>
<col>
<col>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
            <p>
              T
            </p>
            </th>
<th>
            <p>
              discrete<br> _interval
            </p>
            </th>
<th>
            <p>
              continuous<br> _interval
            </p>
            </th>
<th>
            <p>
              right_open<br> _interval
            </p>
            </th>
<th>
            <p>
              left_open<br> _interval
            </p>
            </th>
<th>
            <p>
              closed<br> _interval
            </p>
            </th>
<th>
            <p>
              open<br> _interval
            </p>
            </th>
</tr></thead>
<tbody>
<tr>
<td>
            <p>
              Interval bounds
            </p>
            </td>
<td>
            <p>
              dynamic
            </p>
            </td>
<td>
            <p>
              dynamic
            </p>
            </td>
<td>
            <p>
              static
            </p>
            </td>
<td>
            <p>
              static
            </p>
            </td>
<td>
            <p>
              static
            </p>
            </td>
<td>
            <p>
              static
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              Form
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
              asymmetric
            </p>
            </td>
<td>
            <p>
              asymmetric
            </p>
            </td>
<td>
            <p>
              symmetric
            </p>
            </td>
<td>
            <p>
              symmetric
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/interval_construction.html" title="Interval Construction"><span class="emphasis"><em><span class="bold"><strong>Construction</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">singleton</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">construct</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
              <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
              <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">construct</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;,</span> <span class="identifier">interval_bounds</span><span class="special">)</span></code>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">hull</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
              <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
              <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">span</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
              <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
              <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">static</span> <span class="identifier">T</span>
              <span class="identifier">right_open</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">static</span> <span class="identifier">T</span>
              <span class="identifier">left_open</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">static</span> <span class="identifier">T</span>
              <span class="identifier">closed</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">static</span> <span class="identifier">T</span>
              <span class="identifier">open</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">P</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#discrete_types"><span class="bold"><strong>d</strong></span></a>
            </p>
            </td>
<td>
            <p>
              <a class="link" href="function_synopsis.html#continuous_types"><span class="bold"><strong>c</strong></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/additional_interval_orderings.html" title="Additional Interval Orderings"><span class="emphasis"><em><span class="bold"><strong>Orderings</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">exclusive_less</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">lower_less</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code><br> <code class="computeroutput"><span class="keyword">bool</span>
              <span class="identifier">lower_equal</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">T</span><span class="special">&amp;)</span></code><br>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">lower_less_equal</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">upper_less</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code><br> <code class="computeroutput"><span class="keyword">bool</span>
              <span class="identifier">upper_equal</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span> <span class="keyword">const</span>
              <span class="identifier">T</span><span class="special">&amp;)</span></code><br>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">upper_less_equal</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <a class="link" href="../function_reference/miscellaneous_interval_functions.html" title="Miscellaneous Interval Functions"><span class="emphasis"><em><span class="bold"><strong>Miscellaneous</strong></span></em></span></a>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
<td>
            <p>
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">touches</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">inner_complement</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
<tr>
<td>
            <p>
              <code class="computeroutput"><span class="identifier">difference_type</span> <span class="identifier">distance</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
              <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
<td>
            <p>
              1
            </p>
            </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><a name="boost_icl.interface.function_synopsis.element_iterators_for_interval_containers"></a><h5>
<a name="id1129810"></a>
        <a class="link" href="function_synopsis.html#boost_icl.interface.function_synopsis.element_iterators_for_interval_containers">Element
        iterators for interval containers</a>
      </h5>
<p>
        Iterators on <span class="bold"><strong>interval conainers</strong></span> that are
        refered to in section <span class="emphasis"><em>Iteration</em></span> of the function synopsis
        table are <span class="emphasis"><em><span class="bold"><strong>segment iterators</strong></span></em></span>.
        They reveal the more implementation specific aspect, that the fundamental
        aspect abstracts from. Iteration over segments is fast, compared to an iteration
        over elements, particularly if intervals are large. But if we want to view
        our interval containers as containers of elements that are usable with std::algoritms,
        we need to iterate over elements.
      </p>
<p>
        Iteration over elements . . .
      </p>
<div class="itemizedlist"><ul type="disc">
<li>
          is possible only for integral or discrete <code class="computeroutput"><span class="identifier">domain_types</span></code>
</li>
<li>
          can be very <span class="emphasis"><em><span class="bold"><strong>slow</strong></span></em></span>
          if the intervals are very large.
        </li>
<li>
          and is therefore <span class="emphasis"><em><span class="bold"><strong>depreciated</strong></span></em></span>
</li>
</ul></div>
<p>
        On the other hand, sometimes iteration over interval containers on the element
        level might be desired, if you have some interface that works for <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">SortedAssociativeContainers</span></code>
        of elements and you need to quickly use it with an interval container. Accepting
        the poorer performance might be less bothersome at times than adjusting your
        whole interface for segment iteration.
      </p>
<div class="caution"><table border="0" summary="Caution">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Caution]" src="../../../../../../doc/src/images/caution.png"></td>
<th align="left">Caution</th>
</tr>
<tr><td align="left" valign="top"><p>
          So we advice you to choose element iteration over interval containers
          <span class="emphasis"><em><span class="bold"><strong>judiciously</strong></span></em></span>. Do not
          use element iteration <span class="emphasis"><em><span class="bold"><strong>by default or habitual</strong></span></em></span>.
          Always try to achieve results using namespace global functions or operators
          (preferably inplace versions) or iteration over segments first.
        </p></td></tr>
</table></div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2007 -2010 Joachim Faulhaber<br>Copyright &#169; 1999 -2006 Cortex Software GmbH<p>
        Distributed under the Boost Software License, Version 1.0. (See accompanying
        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
      </p>
</div></td>
</tr></table>
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